Anomalous Scattering Due to s-d Interaction

Higher-order effects of the s-d interaction on the scattering probability of conduction electrons are investigated. A picture of one-electron scattering which takes no account of the presence of other electrons is not sufficient in higher-order effects due to the dynamical character of the s-d interaction. Pauli's principle must be taken into account in selecting the intermediate states for a scattering process of one-electron type. This results in a logarithmic temperature-dependence of resistivity. The dynamical character of the s-d interaction also causes a two-electron scattering, which results from two successive one-electron scatterings. This type of two-electron scattering does not occur when the interaction is a static one. The electrical resistivity arising from this scattering diverges even at finite temperature, when the scattering probability is calculated by a simple perturbation theory. The situation is quite analogous to that of scattering of a light quantum by an atom. By analogy we introduce a finite lifetime of the intermediate state and obtain a finite result. The electrical resistivity is found to be linear in T when T